Citation
Sapar, Siti Hasana and Saydaliyev, Azamat and Deraman, Fatanah and Abdurasulov, K.
(2025)
Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length.
Lobachevskii Journal of Mathematics, 45 (11).
pp. 5735-5749.
ISSN 1995-0802; eISSN: 1818-9962
Abstract
The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. We have also established commutative associative multiplication to build a transposed Poisson algebra associated with a given Lie algebra.
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Official URL or Download Paper: https://link.springer.com/article/10.1134/S1995080...
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Additional Metadata
Item Type: | Article |
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Divisions: | Faculty of Science |
DOI Number: | https://doi.org/10.1134/S1995080224606866 |
Publisher: | Pleiades Publishing |
Keywords: | Lie algebra; Transposed poisson algebra; 1 2-derivation |
Depositing User: | Ms. Che Wa Zakaria |
Date Deposited: | 08 Jul 2025 02:05 |
Last Modified: | 08 Jul 2025 02:05 |
Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1134/S1995080224606866 |
URI: | http://psasir.upm.edu.my/id/eprint/117490 |
Statistic Details: | View Download Statistic |
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